Using & Understanding Mathematics, Books a la Carte edition (7th Edition)
7th Edition
ISBN: 9780134716015
Author: Jeffrey O. Bennett, William L. Briggs
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
thumb_up100%
Chapter 2.A, Problem 24E
Using Key Words. Write out the three steps of the Understand- Solve-Explain process when answering the following questions. Show operations and units clearly.
24. How many buses are need to transport 495 people if each bus holds 45 people?
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
12:25 AM Sun Dec 22
uestion 6- Week 8: QuX
Assume that a company X +
→ C
ezto.mheducation.com
Week 8: Quiz i
Saved
6
4
points
Help
Save & Exit
Submit
Assume that a company is considering purchasing a machine for $50,000 that will have a five-year useful life and a $5,000 salvage value. The
machine will lower operating costs by $17,000 per year. The company's required rate of return is 15%. The net present value of this investment
is closest to:
Click here to view Exhibit 12B-1 and Exhibit 12B-2, to determine the appropriate discount factor(s) using the tables provided.
00:33:45
Multiple Choice
О
$6,984.
$11,859.
$22,919.
○ $9,469,
Mc
Graw
Hill
2
100-
No chatgpt pls will upvote
7. [10 marks]
Let G
=
(V,E) be a 3-connected graph. We prove that for every x, y, z Є V, there is a
cycle in G on which x, y, and z all lie.
(a) First prove that there are two internally disjoint xy-paths Po and P₁.
(b) If z is on either Po or P₁, then combining Po and P₁ produces a cycle on which
x, y, and z all lie. So assume that z is not on Po and not on P₁. Now prove that
there are three paths Qo, Q1, and Q2 such that:
⚫each Qi starts at z;
• each Qi ends at a vertex w; that is on Po or on P₁, where wo, w₁, and w₂ are
distinct;
the paths Qo, Q1, Q2 are disjoint from each other (except at the start vertex
2) and are disjoint from the paths Po and P₁ (except at the end vertices wo,
W1, and w₂).
(c) Use paths Po, P₁, Qo, Q1, and Q2 to prove that there is a cycle on which x, y, and
z all lie. (To do this, notice that two of the w; must be on the same Pj.)
Chapter 2 Solutions
Using & Understanding Mathematics, Books a la Carte edition (7th Edition)
Ch. 2.A - To end up with units of speed, you need to a....Ch. 2.A - What does the word per mean? divided by multiplied...Ch. 2.A - Which of the following represents 4 square miles?...Ch. 2.A - Thu arc given two pieces of information: (1) the...Ch. 2.A - Which of the following represents 9 square miles?...Ch. 2.A - If you multiply an area in square feet by a height...Ch. 2.A - There are 1760 yards in a mile. Therefore, one...Ch. 2.A - One square foot is equivalent to 12 square inches...Ch. 2.A - You buy apples while traveling in Europe. The...Ch. 2.A - If the current exchange rate is $1.058 per euro,...
Ch. 2.A - Briefly describe the Understand-Solve-Explain...Ch. 2.A - What are units? Describe the meaning of key worxs...Ch. 2.A - Describe the meaning of the key words pre, of,...Ch. 2.A - Explain why a unit conversion really involves just...Ch. 2.A - Explain in words or with a picture why there are 9...Ch. 2.A - Describe how to read and use the currency data in...Ch. 2.A - I drove at a speed of 35 miles for the entire...Ch. 2.A - One dollar is worth about 115 Japanese yen, so 1...Ch. 2.A - I figured out how long the airplane will take to...Ch. 2.A - I have a box with a volume of 2 square feet.Ch. 2.A - I bought the fabric at X-mart, because their price...Ch. 2.A - An actual commercial: “The Goodyear Aquatread tire...Ch. 2.A - 13-20: Math Review. The following exercises...Ch. 2.A - 13-20: Math Review. The following exercises...Ch. 2.A - 13-20: Math Review. The following exercises...Ch. 2.A - 13-20: Math Review. The following exercises...Ch. 2.A - Prob. 17ECh. 2.A - Prob. 18ECh. 2.A - Prob. 19ECh. 2.A - Prob. 20ECh. 2.A - Prob. 21ECh. 2.A - Prob. 22ECh. 2.A - Using Key Words. Write out the three steps of the...Ch. 2.A - Using Key Words. Write out the three steps of the...Ch. 2.A - Area and Volume Calculations. Show clearly your...Ch. 2.A - Area and Volume Calculations. Show clearly your...Ch. 2.A - Prob. 27ECh. 2.A - Prob. 28ECh. 2.A - Prob. 29ECh. 2.A - Prob. 30ECh. 2.A - Prob. 31ECh. 2.A - Prob. 32ECh. 2.A - Prob. 33ECh. 2.A - Working with Units. Write out the three steps of...Ch. 2.A - Working with Units. Write out the three steps of...Ch. 2.A - Working with Units. Write out the three steps of...Ch. 2.A - Working with Units. Write out the three steps of...Ch. 2.A - Working with Units. Write out the three steps of...Ch. 2.A - Working with Units. Write out the three steps of...Ch. 2.A - Working with Units. Write out the three steps of...Ch. 2.A - What Went Wrong? Consider the following exam...Ch. 2.A - What Went Wrong? Consider the following exam...Ch. 2.A - 41-44: What Went Wrong? Consider the following...Ch. 2.A - 41-44: What Went Wrong? Consider the following...Ch. 2.A - 45-52: Unit Conversions. Carry out the following...Ch. 2.A - 45-52: Unit Conversions. Carry out the following...Ch. 2.A - 45-52: Unit Conversions. Carry out the following...Ch. 2.A - 45-52: Unit Conversions. Carry out the following...Ch. 2.A - Unit Conversions. Carry out the following unit...Ch. 2.A - Unit Conversions. Carry out the following unit...Ch. 2.A - Unit Conversions. Carry out the following unit...Ch. 2.A - Unit Conversions. Carry out the following unit...Ch. 2.A - Conversions with Square and Cubic Units. 43.Find a...Ch. 2.A - 43-48: Conversions with Square and Cubic...Ch. 2.A - 53-60: Conversions with Square and Cubic Units....Ch. 2.A - 53-60: Conversions with Square and Cubic Units....Ch. 2.A - 43-48: Conversions with Square and Cubic...Ch. 2.A - 53-60: Conversions with Square and Cubic Units....Ch. 2.A - Conversions with Square and Cubic Units. 59. An...Ch. 2.A - 53-60: Conversions with Square and Cubic Units....Ch. 2.A - Currency Conversions. Use the currency exchange...Ch. 2.A - Currency Conversions. Use the currency exchange...Ch. 2.A - Currency Conversions. Use the currency exchange...Ch. 2.A - Currency Conversions. Use the currency exchange...Ch. 2.A - Currency Conversions. Use the currency exchange...Ch. 2.A - Currency Conversions. Use the currency exchange...Ch. 2.A - More Unit Practice. Use unit analysis to answer...Ch. 2.A - More Unit Practice. Use unit analysis to answer...Ch. 2.A - More Unit Practice. Use unit analysis to answer...Ch. 2.A - More Unit Practice. Use unit analysis to answer...Ch. 2.A - 67-71: More Unit Practice. Use unit analysis to...Ch. 2.A - 72-75: Gas Mileage. Answer the following practical...Ch. 2.A - Prob. 73ECh. 2.A - Prob. 74ECh. 2.A - Prob. 75ECh. 2.A - Prob. 76ECh. 2.A - Full of Hot Air. The average person breathes 6...Ch. 2.A - Busy Reading. Suppose you have a tablet with a...Ch. 2.A - Landscaping Project. Suppose that you are planning...Ch. 2.A - Prob. 80ECh. 2.A - Prob. 81ECh. 2.A - 98. Units on the highway. Next time you are on the...Ch. 2.A - Are the units clear? Find a news story that...Ch. 2.A - South American Adventure. Suppose you are planning...Ch. 2.A - Currency Conversions. Use internet to convert $100...Ch. 2.B - The fact that 1 liter = 1.057 quarts can be...Ch. 2.B - Which is greater, 1200 meters or 3600 feet? a....Ch. 2.B - You are given two pieces of information: (1) the...Ch. 2.B - Which of the following is not a unit of energy? a....Ch. 2.B - You want to know how much total energy is required...Ch. 2.B - New Mexico has a population density of about 12...Ch. 2.B - A temperature of 110°C is a. typical of Phoenix in...Ch. 2.B - The concentration of carbon dioxide in earth’s...Ch. 2.B - The guidelines for a particular drug specify a...Ch. 2.B - A blood alcohol content (BAC) of 0.08gm/100 ml...Ch. 2.B - Prob. 1ECh. 2.B - Prob. 2ECh. 2.B - What is energy? List at least three common units...Ch. 2.B - Prob. 4ECh. 2.B - Prob. 5ECh. 2.B - what do we mean by density? What do we mean by...Ch. 2.B - drank 2 liters of water today.Ch. 2.B - I know a professional bicyclist who weighs 300...Ch. 2.B - My car’s gas tank holds 12 meters of gasoline.Ch. 2.B - My daily food intake gives me about 10 million...Ch. 2.B - Our utility company charges 10$ per watt for the...Ch. 2.B - The beach ball we played with had a density of 10...Ch. 2.B - Prob. 13ECh. 2.B - Prob. 14ECh. 2.B - USCS Units. Answer the following questions...Ch. 2.B - USCS Units. Answer the following questions...Ch. 2.B - USCS Units. Answer the following questions...Ch. 2.B - USCS Units. Answer the following questions...Ch. 2.B - USCS Units. Answer the following questions...Ch. 2.B - USCS Units. Answer the following questions...Ch. 2.B - Price Comparison. In each case, decide which of...Ch. 2.B - Price Comparison. In each case, decide which of...Ch. 2.B - Price Comparison. In each case, decide which of...Ch. 2.B - Price Comparison. In each case, decide which of...Ch. 2.B - Metric Prefixes. Complete the following sentences...Ch. 2.B - Metric Prefixes. Complete the following sentences...Ch. 2.B - Metric Prefixes. Complete the following sentences...Ch. 2.B - Metric Prefixes. Complete the following sentences...Ch. 2.B - Metric Prefixes. Complete the following sentences...Ch. 2.B - Metric Prefixes. Complete the following sentences...Ch. 2.B - USCS—Metric Conversions. Convert the following...Ch. 2.B - USCS—Metric Conversions. Convert the following...Ch. 2.B - USCS—Metric Conversions. Convert the following...Ch. 2.B - USCS—Metric Conversions. Convert the following...Ch. 2.B - USCS—Metric Conversions. Convert the following...Ch. 2.B - USCS—Metric Conversions. Convert the following...Ch. 2.B - USCS—Metric Conversions. Convert the following...Ch. 2.B - USCS—Metric Conversions. Convert the following...Ch. 2.B - USCS—Metric Conversions. Convert the following...Ch. 2.B - USCS—Metric Conversions. Convert the following...Ch. 2.B - Greenland ice sheet. The Greenland ice sheet...Ch. 2.B - Volcanic eruption. The greatest volcanic eruption...Ch. 2.B - Prob. 43ECh. 2.B - Prob. 44ECh. 2.B - 45-46: Celsius—Kelvin Conversions. Convert the...Ch. 2.B - 45-46: Celsius—Kelvin Conversions. Convert the...Ch. 2.B - Power Output. In each case, find your average...Ch. 2.B - 47-48. Power Output. In each case, find your...Ch. 2.B - Energy Savings. For these questions, assume that...Ch. 2.B - Energy Savings. For these questions, assume 365...Ch. 2.B - -56: Densities. Compute the following densities...Ch. 2.B - Densities. Compute the following densities using...Ch. 2.B - Densities. Compute the following densities using...Ch. 2.B - Prob. 54ECh. 2.B - Prob. 55ECh. 2.B - 51-56: Densities. Compute the following densities...Ch. 2.B - 51-52. Medication Doses.
51. The antihistamine...Ch. 2.B - 51-52. Medication Doses.
52. Suppose a dose of...Ch. 2.B - Blood Alcohol Content: Wine. A typical glass of...Ch. 2.B - Prob. 60ECh. 2.B - The Metric Mile. Consider the following world...Ch. 2.B - Prob. 62ECh. 2.B - Currency Conversions. Answer the following...Ch. 2.B - Prob. 64ECh. 2.B - Prob. 65ECh. 2.B - Prob. 66ECh. 2.B - 67-70: Gems and Gold. Use carats and karats, as...Ch. 2.B - 67-70: Gems and Gold. Use carats and karats, as...Ch. 2.B - 67-70: Gems and Gold. Use carats and karats, as...Ch. 2.B - Prob. 70ECh. 2.B - Prob. 71ECh. 2.B - The Star of Africa. The Star of Africa was cut...Ch. 2.B - Prob. 73ECh. 2.B - Prob. 74ECh. 2.B - Prob. 75ECh. 2.B - Prob. 76ECh. 2.B - Prob. 77ECh. 2.B - Prob. 78ECh. 2.B - Fertilizing Winter Wheat. Guidelines for the...Ch. 2.B - 80. Metric Area. When the metric system was first...Ch. 2.B - 69-70: Electric Bills. Consider the following...Ch. 2.B - 69-70: Electric Bills. Consider the following...Ch. 2.B - Prob. 83ECh. 2.B - Prob. 84ECh. 2.B - Prob. 85ECh. 2.B - Prob. 86ECh. 2.B - Prob. 87ECh. 2.B - Prob. 88ECh. 2.B - Wind Power: One Turbine. Modern wind energy...Ch. 2.B - Prob. 90ECh. 2.B - 62-67: Drug Dosing.
62. Solution Concentrations....Ch. 2.B - 62-67: Drug Dosing.
64. Infusion Rates for...Ch. 2.B - 62-67: Drug Dosing.
65. Infusion Rates for...Ch. 2.B - Prob. 95ECh. 2.B - Drug Dosing. 67. Administering Penicillin. A...Ch. 2.B - Prob. 97ECh. 2.B - Prob. 98ECh. 2.B - Should the United States Go Metric? Research the...Ch. 2.B - Prob. 100ECh. 2.B - Utility Bill. Analyze a utility bill. Explain all...Ch. 2.B - Prob. 102ECh. 2.B - 84. Air Pollution. Investigate the average...Ch. 2.B - Alcohol Poisoning. Research some aspects of the...Ch. 2.C - 1. A quantitative problem from daily life
a....Ch. 2.C - Prob. 2QQCh. 2.C - Prob. 3QQCh. 2.C - Prob. 4QQCh. 2.C - Prob. 5QQCh. 2.C - Prob. 6QQCh. 2.C - 7. When confronted with a complex problem, why can...Ch. 2.C - 8. Forty balls numbered 1 through 40 are mixed up...Ch. 2.C - 9. Karen arrives at the subway station every day...Ch. 2.C - Prob. 10QQCh. 2.C - Summarize the strategic hints for problem solving...Ch. 2.C - 2. Give an example of a problem that has more than...Ch. 2.C - 3. My simple problem-solving recioe will work for...Ch. 2.C - 4. Whether it’s a problem in mathematics or...Ch. 2.C - Mathematics requires precison, so approximations...Ch. 2.C - Prob. 6ECh. 2.C - A Toll Booth. A toll collector on a highway...Ch. 2.C - Prob. 8ECh. 2.C - A Second Race. Jordan and Amari run a 200-meter...Ch. 2.C - Prob. 10ECh. 2.C - Mixing Marbles. Consider the case in which each of...Ch. 2.C - 12. Coiling Problems. Eight turns of a wire are...Ch. 2.C - 13 Bowed Rail. Suppose a railroad rail is 1...Ch. 2.C - 14. China’s Population. To convince yourself that...Ch. 2.C - Alternative Thinking: The Monk and the Mountain. A...Ch. 2.C - 16. Crossing a Moat. A castle is surrounded by a...Ch. 2.C - Prob. 17ECh. 2.C - Prob. 18ECh. 2.C - Prob. 19ECh. 2.C - Prob. 20ECh. 2.C - Prob. 21ECh. 2.C - Prob. 22ECh. 2.C - Prob. 23ECh. 2.C - Prob. 24ECh. 2.C - Prob. 25ECh. 2.C - Puzzle Problems. The following puzzle problems...Ch. 2.C - 20-39: Puzzle Problems. The following puzzle...Ch. 2.C - 20-39: Puzzle Problems. The following puzzle...Ch. 2.C - Puzzle Problems. The following puzzle problems...Ch. 2.C - Prob. 30ECh. 2.C - Puzzle Problems. The following puzzle problems...Ch. 2.C - Puzzle Problems. The following puzzle problems...Ch. 2.C - Prob. 33ECh. 2.C - Prob. 34ECh. 2.C - Prob. 35ECh. 2.C - Prob. 36ECh. 2.C - Prob. 37ECh. 2.C - Prob. 38ECh. 2.C - Prob. 39ECh. 2.C - 40. You are planning to have a child. How much...Ch. 2.C - 49. Textbook Analysis. Although research shows...Ch. 2.C - 52. Multiple Solutions. Find an example of a real...Ch. 2.C - 53. Multiple Strategies. Find an example of a real...Ch. 2.C - Prob. 44E
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- 6. [10 marks] Let T be a tree with n ≥ 2 vertices and leaves. Let BL(T) denote the block graph of T. (a) How many vertices does BL(T) have? (b) How many edges does BL(T) have? Prove that your answers are correct.arrow_forward4. [10 marks] Find both a matching of maximum size and a vertex cover of minimum size in the following bipartite graph. Prove that your answer is correct. ย ພarrow_forward5. [10 marks] Let G = (V,E) be a graph, and let X C V be a set of vertices. Prove that if |S||N(S)\X for every SCX, then G contains a matching M that matches every vertex of X (i.e., such that every x X is an end of an edge in M).arrow_forward
- Q/show that 2" +4 has a removable discontinuity at Z=2i Z(≥2-21)arrow_forwardRefer to page 100 for problems on graph theory and linear algebra. Instructions: • Analyze the adjacency matrix of a given graph to find its eigenvalues and eigenvectors. • Interpret the eigenvalues in the context of graph properties like connectivity or clustering. Discuss applications of spectral graph theory in network analysis. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS3IZ9qoHazb9tC440 AZF/view?usp=sharing]arrow_forwardRefer to page 110 for problems on optimization. Instructions: Given a loss function, analyze its critical points to identify minima and maxima. • Discuss the role of gradient descent in finding the optimal solution. . Compare convex and non-convex functions and their implications for optimization. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qo Hazb9tC440 AZF/view?usp=sharing]arrow_forward
- Refer to page 140 for problems on infinite sets. Instructions: • Compare the cardinalities of given sets and classify them as finite, countable, or uncountable. • Prove or disprove the equivalence of two sets using bijections. • Discuss the implications of Cantor's theorem on real-world computation. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qoHazb9tC440 AZF/view?usp=sharing]arrow_forwardRefer to page 120 for problems on numerical computation. Instructions: • Analyze the sources of error in a given numerical method (e.g., round-off, truncation). • Compute the error bounds for approximating the solution of an equation. • Discuss strategies to minimize error in iterative methods like Newton-Raphson. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qo Hazb9tC440 AZF/view?usp=sharing]arrow_forwardRefer to page 145 for problems on constrained optimization. Instructions: • Solve an optimization problem with constraints using the method of Lagrange multipliers. • • Interpret the significance of the Lagrange multipliers in the given context. Discuss the applications of this method in machine learning or operations research. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qo Hazb9tC440 AZF/view?usp=sharing]arrow_forward
- Only 100% sure experts solve it correct complete solutions okarrow_forwardGive an example of a graph with at least 3 vertices that has exactly 2 automorphisms(one of which is necessarily the identity automorphism). Prove that your example iscorrect.arrow_forward3. [10 marks] Let Go (Vo, Eo) and G₁ = (V1, E1) be two graphs that ⚫ have at least 2 vertices each, ⚫are disjoint (i.e., Von V₁ = 0), ⚫ and are both Eulerian. Consider connecting Go and G₁ by adding a set of new edges F, where each new edge has one end in Vo and the other end in V₁. (a) Is it possible to add a set of edges F of the form (x, y) with x € Vo and y = V₁ so that the resulting graph (VUV₁, Eo UE₁ UF) is Eulerian? (b) If so, what is the size of the smallest possible F? Prove that your answers are correct.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
01 - What Is A Differential Equation in Calculus? Learn to Solve Ordinary Differential Equations.; Author: Math and Science;https://www.youtube.com/watch?v=K80YEHQpx9g;License: Standard YouTube License, CC-BY
Higher Order Differential Equation with constant coefficient (GATE) (Part 1) l GATE 2018; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=ODxP7BbqAjA;License: Standard YouTube License, CC-BY
Solution of Differential Equations and Initial Value Problems; Author: Jefril Amboy;https://www.youtube.com/watch?v=Q68sk7XS-dc;License: Standard YouTube License, CC-BY